I am absolutely sure that I am using a different device. I.e. in one terminal I've entered:
/poclbm.py --user=user1 --pass=mypass -v -d 1 -w 128 -f 120 -o mining.bitcoin.cz -p 8332
And in the other one:
/poclbm.py --user=user2 --pass=mypass -v -d 2 -w 128 -f 120 -o mining.bitcoin.cz -p 8332
So both the devices and user names on slush's server are different.